JPH0259660A - Crack detecting method - Google Patents

Crack detecting method

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Publication number
JPH0259660A
JPH0259660A JP63211325A JP21132588A JPH0259660A JP H0259660 A JPH0259660 A JP H0259660A JP 63211325 A JP63211325 A JP 63211325A JP 21132588 A JP21132588 A JP 21132588A JP H0259660 A JPH0259660 A JP H0259660A
Authority
JP
Japan
Prior art keywords
frequency
output level
natural
vibration
waveform
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
JP63211325A
Other languages
Japanese (ja)
Inventor
Iwao Ozaki
巌 尾崎
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Toyota Motor Corp
Original Assignee
Toyota Motor Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Toyota Motor Corp filed Critical Toyota Motor Corp
Priority to JP63211325A priority Critical patent/JPH0259660A/en
Publication of JPH0259660A publication Critical patent/JPH0259660A/en
Pending legal-status Critical Current

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Abstract

PURPOSE:To improve the discrimination accuracy for the generation of a crack by discriminating whether a point shown by a natural frequency and an output level of a wave type of its natural frequency is within a prescribed area of a two-dimensional plane consisting of the frequency and the output level or not. CONSTITUTION:A percussion is given to an article to be inspected 1 by a steel ball 3, and its vibration is detected by an electromagnetic pick 5, amplified by an amplifier 7 and outputted to a frequency analyzer 9. The frequency analyzer 9 inputs a vibration waveform, based on a timing signal outputted from a delay device, and analyzes a frequency component of a frequency waveform and its output level. Subsequently, whether a point shown by a natural frequency of the frequency waveform and its output level is in a prescribed closed area which is set at every natural oscillation by a setting device 11, of a two-dimensional plane in which the frequency and the output level are parameters or not is discriminated by a discriminator 10. In such a way, the discrimination accuracy for the generation of a crack can be improved.

Description

【発明の詳細な説明】 〔産業上の利用分野〕 本発明は、焼結部品である被検査品の非破壊検査方法に
係わり、特に、被検査品を打撃することにより発生する
音又は振動を分析することよって前記被検査品の良否を
判定する打撃振動解析法による割れ検出方法に関する。
[Detailed Description of the Invention] [Field of Industrial Application] The present invention relates to a method for non-destructive testing of inspected items, which are sintered parts, and particularly relates to a method for non-destructive testing of inspected items, which are sintered parts. The present invention relates to a crack detection method using a impact vibration analysis method, which determines the quality of the inspected product through analysis.

〔従来の技術〕[Conventional technology]

従来、金属部材の良否を判定する非破壊検査方法の一つ
に、金属部材に打撃を加え、その振動音を検出すること
により被検査部材の割れを検出するいわゆる打撃振動解
析法がある。
Conventionally, one of the nondestructive testing methods for determining the quality of metal members is the so-called impact vibration analysis method, which detects cracks in the inspected member by applying a blow to the metal member and detecting the vibration sound.

この打撃振動解析法の従来例としては、例えば特開昭4
8−30983号公報に開示されているように、打撃に
よる固有振動の固有振動数により割れの判別を行う手法
がある。
As a conventional example of this impact vibration analysis method, for example,
As disclosed in Japanese Patent No. 8-30983, there is a method of determining cracks based on the natural frequency of natural vibration caused by impact.

また、例えば「打撃振動解析法による金属材料の機械的
性質と亀裂の評価」;日本非破壊検査協会第3分科会資
料No3844に開示されているように、打撃振動の固
有振動数と減衰係数から亀裂発生を予測する手法もある
In addition, for example, as disclosed in "Evaluation of Mechanical Properties and Cracks of Metal Materials by Impact Vibration Analysis Method"; Material No. 3844 of the Third Subcommittee of the Japan Nondestructive Inspection Association, it is possible to use the natural frequency and damping coefficient of impact vibration. There are also methods to predict the occurrence of cracks.

この打撃振動解析法は、打撃によって発生する振動を検
出するセンサからの検出信号を波形処理してオート・パ
ワースペクトルと波形の包路線を求め、固有振動数およ
び振幅の減衰係数を計算し、この固有振動数および振幅
の減衰係数の大小により割れの発生を判別するものであ
る。
This impact vibration analysis method processes the detection signal from the sensor that detects the vibration generated by impact, obtains the auto power spectrum and the envelope of the waveform, calculates the natural frequency and amplitude damping coefficient, and The occurrence of cracks is determined based on the magnitude of the natural frequency and amplitude damping coefficient.

〔発明が解決しようとする課題〕[Problem to be solved by the invention]

前記日本非破壊検査協会第3分科会資料No3844に
も開示されているように、一般に、減衰係数は割れが発
生すると大きくなり、又固有振動数は割れが発生すると
小さくなる。
As disclosed in Material No. 3844 of the Third Subcommittee of the Japan Nondestructive Testing Association, generally, the damping coefficient increases when a crack occurs, and the natural frequency decreases when a crack occurs.

ところが、割れの発生した不良品のなかには、割れがな
い良品の減衰係数よりも小さい減衰係数を有するものも
存在するし、また、割れがない良品のと等しい固有振動
数をもつものも存在するので、固有振動数あるいは減衰
係数の大小のみでは、判別精度が十分でないという問題
があった。
However, some defective products with cracks have damping coefficients that are smaller than those of good products without cracks, and there are also products with natural frequencies that are equal to those of good products without cracks. However, there was a problem in that the discrimination accuracy was not sufficient based only on the magnitude of the natural frequency or the damping coefficient.

したがって、本発明は、固有振動数とその固有振動数の
波形の出力レベルの双方を複合して判別することにより
、割れ発生の判別精度の向上を図ることを目的とする。
Therefore, it is an object of the present invention to improve the accuracy of determining the occurrence of cracks by combining and determining both the natural frequency and the output level of the waveform of the natural frequency.

〔課題を解決するための手段〕[Means to solve the problem]

そこで、本発明は、予め固有振動数とその共振振動数の
波形の出力レベルをパラメータとする二次元平面上での
良品の閉鎖域を設定しておき、被検査品の固有振動数と
その固有振動の波形の出力レベルが前記閉鎖域内に位置
するか否かで割れ検出を行うようにしたことを特徴とす
る。
Therefore, in the present invention, a closed area of a non-defective product is set in advance on a two-dimensional plane using the output level of the waveform of the natural frequency and its resonance frequency as parameters, and the natural frequency of the product to be inspected and its natural The present invention is characterized in that crack detection is performed based on whether the output level of the vibration waveform is located within the closed area.

具体的には、被検査品を打撃することによって発生する
音または振動を検出し、 予め定めた打撃した時点から所定のサンプリング時間に
前記検出信号をサンプリングし、このサンプリングされ
た検出信号から固有振動の固有振動数およびその固有振
動の出力レベルを求め、 振動数および出力レベルをパラメータとする2次元平面
上における前記固有振動数およびその固有振動の出力レ
ベルで表わされる点が前記2次元平面上の所定の閉鎖域
内にあるか否かを判別することにより被検査品の良否を
判別するようにしたことを特徴とする。
Specifically, the sound or vibration generated by hitting the inspected item is detected, the detection signal is sampled at a predetermined sampling time from the predetermined point of impact, and the natural vibration is determined from this sampled detection signal. Find the natural frequency and the output level of the natural vibration, and find the point on the two-dimensional plane expressed by the natural frequency and the output level of the natural vibration on the two-dimensional plane with the frequency and the output level as parameters. The present invention is characterized in that the quality of the inspected product is determined by determining whether or not it is within a predetermined closed area.

〔作用〕[Effect]

本発明の構成によれば、固を振動数とその固有振動数の
出力レベルで表される点が、振動数と出力レベルの双方
をパラメータとする二次元平面上の所定の閉鎖域内に有
るか否かにより、良品か否かを判別するようにしている
ので、固有振動数又はその固有振動数成分の出力レベル
の大小だけでは誤判別を生じるような被検査品であって
も正確に良否を判別できる。
According to the configuration of the present invention, whether a point expressed by the frequency of the vibration and the output level of its natural frequency is within a predetermined closed area on a two-dimensional plane with both the frequency and the output level as parameters. Since it is possible to determine whether a product is good or not based on whether the product is good or not, it is possible to accurately determine whether the product is good or bad even if the product under inspection would be misjudged based on the output level of the natural frequency or its natural frequency component alone. Can be distinguished.

〔実施例〕〔Example〕

次に、本発明の一実施例に係わる割れ検出方法を第1図
ないし第4図に基づき詳細に説明する。
Next, a crack detection method according to an embodiment of the present invention will be explained in detail with reference to FIGS. 1 to 4.

第1図ないし第4図は、本発明の実施例に係わる割れ検
出方法を説明するための図であり、第1図は割れ検出方
法に用いる検査装置のブロック図、第2図は割れ検出方
法における良品不良品の分布状態を示す分布図、第3図
は被検査品の打撃振動の振動波形を示す波形図、第4図
は振動波形の周波数スペクトル図である。
1 to 4 are diagrams for explaining a crack detection method according to an embodiment of the present invention. FIG. 1 is a block diagram of an inspection device used in the crack detection method, and FIG. 2 is a block diagram of a crack detection method. FIG. 3 is a waveform diagram showing the vibration waveform of impact vibration of the inspected product, and FIG. 4 is a frequency spectrum diagram of the vibration waveform.

第1図において、符号1は被検査品、符号2は検査治具
で、被検査品lはこの検査治具2によって支持されてい
る。符号3はこの被検査品1を打撃するための鋼球であ
り、所定の高さのところから所定の長さのピアノ線で吊
るされている。符号4はマイク、符号5は振動を被検査
品1との距離の変動で検出する電磁ピック、符号6は振
動部に固定し振動を直接検出する加速度ピックで、鋼球
3による打撃時の音はマイク4で検出し、打撃振動は電
磁ピック5または加速度ピック6で検出する。マイク4
、電磁ピック5、または加速度ピック6は打撃振動を検
出する方式が異なるだけで、後の判別方法は同一である
から、いずれにより検出しても同一の結果が得られる。
In FIG. 1, reference numeral 1 denotes an item to be inspected, and reference numeral 2 denotes an inspection jig, and the item 1 to be inspected is supported by this inspection jig 2. In FIG. Reference numeral 3 designates a steel ball for striking the inspected item 1, which is suspended from a predetermined height with a predetermined length of piano wire. Reference numeral 4 is a microphone, reference numeral 5 is an electromagnetic pick that detects vibrations based on changes in the distance to the inspected product 1, and reference numeral 6 is an acceleration pick that is fixed to the vibrating part and directly detects vibrations, which detects the sound when struck by the steel ball 3. is detected by a microphone 4, and impact vibration is detected by an electromagnetic pick 5 or an acceleration pick 6. microphone 4
, the electromagnetic pick 5, or the acceleration pick 6, the only difference is the method of detecting impact vibration, and the subsequent discrimination method is the same, so the same result can be obtained no matter which method is used for detection.

同図では便宜上マイク4、電磁ビック5および加速度ピ
ンク6を並列に設けたようになっているが、実際には、
いずれか一方が用いられる。
In the figure, the microphone 4, electromagnetic microphone 5, and acceleration pink 6 are arranged in parallel for convenience, but in reality,
Either one is used.

以降は、電磁ピック5を用いた場合について説明する。Hereinafter, a case where the electromagnetic pick 5 is used will be explained.

符号7は電磁ピック5からの出力信号を増幅する増幅器
である。
Reference numeral 7 is an amplifier that amplifies the output signal from the electromagnetic pick 5.

符号8は前記増幅器7からの振動波形に基づき、打撃時
点からの振動波形を取り込むタイミングを指示するタイ
ミング信号を出力するデイレイ装置である。
Reference numeral 8 denotes a delay device that outputs a timing signal based on the vibration waveform from the amplifier 7, which instructs the timing to take in the vibration waveform from the time of impact.

ここで、タイミング信号について、第3図を参照して説
明する。第3図は前記増幅器7からの振動波形を示すも
ので、波形Aは打撃時の打撃ノイズを表す、同打撃ノイ
ズAはホワイトノイズ的な広範囲の周波数成分を含み、
振幅も大幅に変動している。波形Bは前記打撃ノイズA
が減衰した後の被検査品1の振動波形で、固有振動数に
よる共振現象を示すので、点線で示す波形Cのようなカ
ーブになる。
Here, the timing signal will be explained with reference to FIG. 3. FIG. 3 shows the vibration waveform from the amplifier 7. Waveform A represents the impact noise at the time of impact, and the impact noise A includes a wide range of frequency components similar to white noise.
The amplitude also fluctuates significantly. Waveform B is the impact noise A
The vibration waveform of the inspected product 1 after being attenuated shows a resonance phenomenon due to the natural frequency, so it forms a curve like waveform C shown by a dotted line.

前記打撃ノイズAは被検査品1の固有振動とは無関係な
振動であるのでこの波形を取り込んで周波数分析を行う
と誤判別を生じることになる。そこで、この打撃ノイズ
Aの影響を除くため、打撃の瞬間から1.たけ遅延させ
てt5時間の間サンプリングを指示するタイミング信号
を発生し、打撃の瞬間からtt経過後、再度に、t3時
間の間2回目のサンプリングを指示するタイミング信号
を発生する。
Since the impact noise A is a vibration unrelated to the natural vibration of the product 1 to be inspected, if this waveform is taken in and subjected to frequency analysis, an erroneous determination will occur. Therefore, in order to eliminate the influence of this impact noise A, 1. A timing signal that instructs sampling for a time t5 is generated with a delay of 50 minutes, and after tt has elapsed from the moment of impact, a timing signal that instructs a second sampling for a time t3 is generated again.

なお、共振の影響を除(ために、前記サンプリング時間
t3は、波形Cのうねりの周期よりも大、且つ(t!−
t、)/2よりも小さくする。
Note that in order to remove the influence of resonance, the sampling time t3 is larger than the period of the waveform C waveform, and (t!-
t, )/2.

このようにサンプリングタイミング1..1゜およびサ
ンプリング時間t、を設定することにより、安定的かつ
高精度に判別できる。
In this way, sampling timing 1. .. By setting 1° and sampling time t, stable and highly accurate determination can be made.

符号9は前記電磁ピック5により検出した振動波形の周
波数成分およびその出力レベルを分析し出力する周波数
分析器である。
Reference numeral 9 denotes a frequency analyzer that analyzes and outputs the frequency component of the vibration waveform detected by the electromagnetic pick 5 and its output level.

この周波数分析器9は、第4図の振動波形の周波数成分
およびその出力レベルを示す周波数スペクトル図に示す
ように、各周波数の出力レベルを検出できるようになっ
ている。本実施例においては、同4図に示す1〜3次固
有振動の固有振動数およびその出力レベルを表すピーク
値P1.P2.P3を検出できるようにしている。4次
以上の高次の固有振動はピーク値が小さくまた検出感度
が低下するため、本実施例では用いない。
The frequency analyzer 9 is capable of detecting the output level of each frequency, as shown in the frequency spectrum diagram of FIG. 4 showing the frequency components of the vibration waveform and their output levels. In the present embodiment, the peak value P1 representing the natural frequency and output level of the first to third natural vibrations shown in FIG. P2. P3 can be detected. High-order natural vibrations of the fourth order or higher have small peak values and lower detection sensitivity, so they are not used in this embodiment.

符号10は前記周波数分析器9から出力される前記振動
波形の1〜3次の固有振動の固有振動数およびその出力
レベルPI、P2.P3が、振動数および出力レベルを
パラメータとする二次元平面上の所定の閉鎖域内に存在
するか否かを1〜3次の各固有振動毎に判別し、1〜3
次の固有振動数およびその出力レベルが全て前記閉鎖域
内にある時のみ良品′と判別する判別器である。
Reference numeral 10 indicates the natural frequencies of the first to third order natural vibrations of the vibration waveform output from the frequency analyzer 9 and their output levels PI, P2 . It is determined for each of the first to third natural vibrations whether or not P3 exists within a predetermined closed area on a two-dimensional plane with the frequency and output level as parameters, and
This is a discriminator that determines that a product is good only when the following natural frequencies and their output levels are all within the closed range.

符号11は前記所定の閉鎖域を1〜3次の各固有振動毎
に設定する設定器である。
Reference numeral 11 is a setting device for setting the predetermined closed region for each of the first to third natural vibrations.

この設定器11で設定される良品であることを示す所定
の閉鎖域は、第3図に示すように、予め良品と不良品と
を複数個選択し、1〜3次の固有振動数と出力レベルを
検出する。そして、この固有振動数と出力レベルを、振
動数と出力レベルをパラメータとする2次元平面、すな
わち、振動数をX軸、出力レベルをy軸とする2次元平
面上にプロットし、その分布から、重心位置を求め、そ
の重心位置を通る分布の1次回帰式から楕円の長軸(X
軸)および短軸(y軸)方向を決め、それぞれの方向の
標準偏差(=シグマ)を求め、それぞれ3シグマを楕円
の長径(α)および短径(β)として、この楕円で囲ま
れた閉鎖域を良品と判断する閉鎖域とし、これを1〜3
次の固有振動それぞれに設定する。
As shown in FIG. 3, the predetermined closed area indicating a non-defective product, which is set by the setting device 11, is determined by selecting a plurality of non-defective products and defective products in advance, and selecting the first to third natural frequencies and outputs. Detect levels. Then, plot this natural frequency and output level on a two-dimensional plane with the frequency and output level as parameters, that is, a two-dimensional plane with the frequency as the x-axis and the output level as the y-axis, and from the distribution. , find the center of gravity position, and calculate the long axis of the ellipse (X
(axis) and short axis (y-axis), find the standard deviation (=sigma) in each direction, set 3 sigma as the major axis (α) and minor axis (β) of the ellipse, and calculate the area surrounded by this ellipse. The closed area is determined to be a good product, and this is set as 1 to 3.
Set each of the following natural vibrations.

同図において、○は良品における固有振動数とその出力
レベルを、また、×は不良品における固有振動数とその
出力レベルを示しており、この図は2次の固有振動の分
布を表したもので、■、3次の固有振動についても同様
に設定しておく。
In the figure, ○ indicates the natural frequency and its output level of a good product, and × indicates the natural frequency and its output level of a defective product. This figure shows the distribution of secondary natural vibrations. Then, ■.Set the third-order natural vibration in the same way.

次に、本実施例に作用について説明する。Next, the operation of this embodiment will be explained.

まず、被検査品1を検査治具2にセットし、鋼球3を所
定の高さから自然に落下させて被検査品1の垂直面に直
角に衝突させて、打撃を与える。
First, the item to be inspected 1 is set on the inspection jig 2, and the steel ball 3 is dropped naturally from a predetermined height and collides with the vertical surface of the item to be inspected 1 at right angles to give a blow.

この打撃による振動を電磁ピック5により検出し、この
電磁ピック5からの振動波形を増幅器7で増幅して周波
数分析器9およびデイレイ装置8へ出力する。このデイ
レイ装置8にて前記振動波形より打撃時点を検出すると
共に、この打撃時点より所定のタイミングで周波数分析
を指示するタイミングパルスを前記周波数分析器9に出
力する。このデイレイ装置8からのタイミングパルスに
基づいて、前記周波数分析器9により前記増幅器7から
の振動波形を周波数分析し、振動波形の1〜3次の固有
振動数およびその固有振動数での出力レベルを求めて、
前記固有振動数およびその出力レベルを示す信号を、判
別器10へ出力する。この判別器10においては、前記
周波数分析器9からの固有振動数およびその出力レベル
を示す信号が、設定器11に予め設定されている振動数
及び出力レベルをパラメータとする2次元平面上の良品
であることを示す閉鎖域内に有るか否かを、比較し、前
記1〜3次の固有振動の固有振動数及び出力レベルが全
て前記閉鎖域内にあれば良品であることを示す合格信号
を、また、1〜3次のうちの一つでも前記閉鎖域外にあ
れば不良品であることを示す不合格信号を出力する。
The vibration caused by this impact is detected by the electromagnetic pick 5, and the vibration waveform from the electromagnetic pick 5 is amplified by the amplifier 7 and output to the frequency analyzer 9 and the delay device 8. The delay device 8 detects the point of impact from the vibration waveform, and outputs a timing pulse instructing frequency analysis to the frequency analyzer 9 at a predetermined timing from this point of impact. Based on the timing pulse from the delay device 8, the frequency analyzer 9 analyzes the frequency of the vibration waveform from the amplifier 7, and calculates the first to third natural frequencies of the vibration waveform and the output level at the natural frequencies. In search of
A signal indicating the natural frequency and its output level is output to the discriminator 10. In this discriminator 10, a signal indicating the natural frequency and its output level from the frequency analyzer 9 is used as a parameter for a non-defective product on a two-dimensional plane with the frequency and output level preset in the setting device 11 as parameters. If the natural frequencies and output levels of the first to third order natural vibrations are all within the closed range, a pass signal indicating that the product is good is determined. Further, if any one of the first to third conditions is outside the closed range, a rejection signal indicating that the product is defective is output.

本実施例によれば、振動波形の固有振動の1〜3次の三
成分により、合否を判別しているので、より正確に割れ
を検出できる。
According to this embodiment, since pass/fail is determined based on the three components of the first to third orders of the natural vibration of the vibration waveform, cracks can be detected more accurately.

また、打撃振動の伝播時間を考慮して打撃開始から所定
時間経過後に周波数分析を行うようにしているので、打
撃時の打撃ノイズによる誤判別を防止でき、正確に割れ
を検出できる。
Further, since the frequency analysis is performed after a predetermined period of time has elapsed from the start of impact, taking into consideration the propagation time of impact vibration, it is possible to prevent misjudgment due to impact noise during impact, and to accurately detect cracks.

〔発明の効果〕〔Effect of the invention〕

以上述べたように、本発明によれば、固有振動数とその
固有振動数の出力レベルで表される点が、振動数と出力
レベルの双方をパラメータとする二次元平面上の所定の
閉鎖域内に有るか否かにより、良品か否かを判別するよ
うにしているので、固有振動数又はその固有振動数成分
の出力レベルの大小だけでは誤判別を生じるような被検
査品であっても正確にその良否を判別できるという優れ
た効果を奏する。
As described above, according to the present invention, a point represented by a natural frequency and an output level of the natural frequency is within a predetermined closed area on a two-dimensional plane in which both the frequency and the output level are parameters. Since it is determined whether the product is good or not based on whether or not it exists, even if the product under inspection would be misjudged based on the magnitude of the natural frequency or the output level of its natural frequency component, it can be accurately detected. It has the excellent effect of being able to determine whether it is good or bad.

【図面の簡単な説明】[Brief explanation of the drawing]

第1図ないし第4図は、本発明の実施例に係わる割れ検
出方法を説明するための図であり、第1図は割れ検出方
法に用いる検査装置のブロック図、第2図は割れ検出方
法における良品不良品の分布状態を示す分布図、第3図
は被検査品の打撃振動の振動波形を示す波形図、第4図
は振動波形の周波数スペクトル図である。 1 ・・・・被検査品
1 to 4 are diagrams for explaining a crack detection method according to an embodiment of the present invention. FIG. 1 is a block diagram of an inspection device used in the crack detection method, and FIG. 2 is a block diagram of a crack detection method. FIG. 3 is a waveform diagram showing the vibration waveform of impact vibration of the inspected product, and FIG. 4 is a frequency spectrum diagram of the vibration waveform. 1...Product to be inspected

Claims (1)

【特許請求の範囲】[Claims] (1)被検査品を打撃することによって発生する音また
は振動を検出し、 打撃した時点から所定のサンプリングタイミングにて所
定のサンプリング時間で前記検出信号をサンプリングし
、 このサンプリングされた検出信号から固有振動の固有振
動数およびその固有振動の出力レベルを求め、 振動数および出力レベルをパラメータとする2次元平面
上における前記固有振動数およびその固有振動の出力レ
ベルで表わされる点が前記2次元平面上の所定の閉鎖域
内にあるか否かを判別することにより被検査品の良否を
判別するようにしたことを特徴とする割れ検出方法。
(1) Detect the sound or vibration generated by hitting the item to be inspected, sample the detection signal at a predetermined sampling time from the point of impact, and extract the characteristic from this sampled detection signal. The natural frequency of vibration and the output level of the natural vibration are determined, and the point represented by the natural frequency and the output level of the natural vibration on a two-dimensional plane with the frequency and the output level as parameters is located on the two-dimensional plane. A crack detection method characterized in that the quality of a product to be inspected is determined by determining whether or not the product is within a predetermined closed area.
JP63211325A 1988-08-25 1988-08-25 Crack detecting method Pending JPH0259660A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP63211325A JPH0259660A (en) 1988-08-25 1988-08-25 Crack detecting method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP63211325A JPH0259660A (en) 1988-08-25 1988-08-25 Crack detecting method

Publications (1)

Publication Number Publication Date
JPH0259660A true JPH0259660A (en) 1990-02-28

Family

ID=16604086

Family Applications (1)

Application Number Title Priority Date Filing Date
JP63211325A Pending JPH0259660A (en) 1988-08-25 1988-08-25 Crack detecting method

Country Status (1)

Country Link
JP (1) JPH0259660A (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7086542B2 (en) 2003-01-31 2006-08-08 Tamatoshi Co., Ltd. Commodity display device

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7086542B2 (en) 2003-01-31 2006-08-08 Tamatoshi Co., Ltd. Commodity display device

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